GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 09 Dec 2018, 23:30

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Algebra Webinar

     December 09, 2018

     December 09, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.

If a, b, and c are nonzero numbers and a + b = c, which of t

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51045
If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 17 Feb 2014, 02:45
1
3
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:05) correct 10% (01:12) wrong based on 462 sessions

HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

Problem Solving
Question: 99
Category: Arithmetic Operations on rational numbers
Page: 74
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Community Reply
Intern
Intern
avatar
Joined: 27 Oct 2011
Posts: 22
GMAT ToolKit User
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 17 Feb 2014, 10:27
5
a + b = c ,
taking b to the other side, a = c-b ,
take a to the other side , 1 =\(\frac{c-b}{a}\)

option E.
_________________

oblige me with Kudos.

General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51045
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 17 Feb 2014, 02:45
SOLUTION

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

From a + b = c:

a = c - b;
b = c - a;
c = a + b.

Only option E yields 1: (c - b)/a = a/a = 1.

Answer: E.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
Joined: 11 Jan 2014
Posts: 89
Concentration: Finance, Statistics
GMAT Date: 03-04-2014
GPA: 3.77
WE: Analyst (Retail Banking)
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 17 Feb 2014, 04:47
1
Since we are given that a+b=c, the answer we have to pick has to be in one of the following forms:

a= c-b
b= c-a
c= a+b


The only valid choice is (E), since it is dividing equal values.
Manager
Manager
avatar
Joined: 20 Dec 2013
Posts: 230
Location: India
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 17 Feb 2014, 08:18
1
Option E.
(c-b)/a=(a+b-b)/a=1
Given c=a+b

Posted from my mobile device
Manager
Manager
User avatar
Status: GMATting
Joined: 21 Mar 2011
Posts: 105
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
GMAT ToolKit User
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 18 Feb 2014, 06:45
2
I know it is not the quickest/best approach but I used number picking strategy: a=3; b=4; c=7;

Sub these values and you can clearly find out that answer is 1, especially if you are not so good at using variables.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51045
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 22 Feb 2014, 04:48
SOLUTION

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

From a + b = c:

a = c - b;
b = c - a;
c = a + b.

Only option E yields 1: (c - b)/a = a/a = 1.

Answer: E.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1826
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 20 Mar 2014, 23:38
2
One more method

Looking at the equation a+b = c,

we can conclude that c > a & c > b

Option A & Option D are not possible as a & b are on the same side of equation.

Option B & Option C will be negative as c > a & c > b

So Answer = E

_________________

Kindly press "+1 Kudos" to appreciate :)

Intern
Intern
avatar
Joined: 24 Mar 2015
Posts: 2
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 01 Apr 2015, 11:19
Another way would be to just plug-in numbers for a,b and c.
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13050
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 02 Apr 2015, 21:38
Hi All,

This question is perfect for TESTing VALUES.

We're told that A, B and C are non-zero numbers and that A + B = C. We're asked which of the following answers is equal to 1.

IF....
A = 2
B = 3
C = 5

Answer A: (2-3)/5 = -1/5 NOT a match
Answer B: (2-5)/3 = -3/3 NOT a match
Answer C: (3-5)/2 = -2/2 NOT a match
Answer D: (3-2)/5 = 1/5 NOT a match
Answer E: (5-3)/2 = 2/2 This IS a match

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Manager
Manager
User avatar
Joined: 11 Oct 2013
Posts: 106
Concentration: Marketing, General Management
GMAT 1: 600 Q41 V31
GMAT ToolKit User
If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 22 Aug 2015, 23:24
We know that a + b = c.
So, c > b > a

Any option which has a - b, b - c, or a - c as numerator options will be incorrect --> such an option will deduce negative value.
This rules out option A, B and C.

It is also noteworthy that c cannot be in the denominator as it is the biggest of the three and the solution will be < 1.
This rules out option D.

Only option left is option E. You can either mark it, it test the option.

E is the correct answer.

Another way would be to just solve the parent equation -
a + b = c
a = c - b
1 = (c - b)/a --> Answer choice E!

Cheers!
_________________

Its not over..

VP
VP
User avatar
P
Joined: 09 Mar 2016
Posts: 1202
Re: If a, b, and c are nonzero numbers and a + b = c, which of t  [#permalink]

Show Tags

New post 05 Mar 2018, 08:38
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If a, b, and c are nonzero numbers and a + b = c, which of the following is equal to 1 ?

(A) (a - b)/c
(B) (a - c)/b
(C) (b - c)/a
(D) (b - a)/c
(E) (c - b)/a

Problem Solving
Question: 99
Category: Arithmetic Operations on rational numbers
Page: 74
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!



let a, b, c be 1, 2, 3 respectively.

test the values.

only E yields 1 :)
GMAT Club Bot
Re: If a, b, and c are nonzero numbers and a + b = c, which of t &nbs [#permalink] 05 Mar 2018, 08:38
Display posts from previous: Sort by

If a, b, and c are nonzero numbers and a + b = c, which of t

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.